Question

A right pyramid with a square base has a base length of

x inches, and the height is two inches longer than the
length of the base. Which expression represents the
volume in terms of x?
x?(x + 2) cubic inches
3
x(x + 2) cubic inches
3
Marion
+2 cubic inches
***2 cubic inches

Answer 1

x^2(x + 2)/3 cubic inches

Explanation:

The area of the square base is ...

B = x^2

The volume is given by ...

V = (1/3)Bh

where h represents the height, and B is the area of the base.

Using x+2 for the height, the volume of the pyramid is

V = (1/3)(x^2)(x +2)

V = x^2(x +2)/3 . . . cubic inches